Mechanical Vibrations Questions
(See attached file for full problem description with diagrams) Mechanical Vibrations Question No.1 A pulley 250mm in diameter drives a second pulley 1000mm diameter by means of a belt.The mass moment of inertia of the drive pulley is 0.2kg-m2. The belt connecting these pulleys is represented by two springs, each of stiffness ...continues
1) For the two degree of freedom structure shown: i) what is the matrix equation of motion?. Assume that m1 and m2 oscillate harmonically with the same frequency but with different amplitudes X1 and X2 of x1(t) and x2(t). ii) what are the values of the amplitude ratios r1 and r2 if m1 = m2 = m, k1 = k, and k2 =3k? See a ...continues
Please show me formula, explain and what is the correct answer.
1) In the idealized model attached shown, m = 15 kg, k = 135 N/m, and the viscous damping ratio is 0.15. Assume that an external harmonic force F(t) = 15 cos 4 t acts on the system with F0=15 N and forcing frequency of 4 rad/s. i) Find the magnification factor M for the frequency ratio r of 1.382. ii) What is the amplitude o ...continues
1) A machine tool having a mass of 1000 kg and a moment of inertia J = 300 kg-m2, is supported on elastic supports with stiffnesses and locations shown. i) Find the natural frequencies of the machine tool. ii) what are the corresponding amplitude ratios? (There are 2 separate questions in 1 problem). Please see attached ...continues
A Problem about Two degree of Freedom Systems. See attached file for full problem description.
A Problem about Two degree of Freedom Systems
It is a problem about Two degree of Freedom Systems. It describes the derivation of equations of motion for a double pendulum and the calculations of natural frequencies and natural modes.
Multi degree of Freedom Systems.
A Problem about Multi degree of Freedom Systems. See attached file for full problem description.
Solve only the second part. The machine shown in the figure is rigidly anchored on a rigid concrete block and the mass of both is 3000 kg. The block has height h = 1 m and square horizontal section with a = 1.2 m and is supported at the corners by 12 springs of stiffness k = 2000 N/m.
The machine shown in the figure is rigidly anchored on a rigid concrete block and the mass of both is 3000 kg. The block has height h = 1 m and square horizontal section with a = 1.2 m and is supported at the corners by 12 springs of stiffness k = 2000 N/m. i) Derive the equations of motion of the system using both Newton’s ...continues
